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27944812272 = 2431385352501
BaseRepresentation
bin11010000001101000…
…111111111011110000
32200010112002112211010
4122001220333323300
5424212332443042
620500534150520
72006332661616
oct320150777360
980115075733
1027944812272
1110940133083
1254ba7b2440
1328346672a0
1414d15056b6
15ad84b459c
hex681a3fef0

27944812272 has 80 divisors (see below), whose sum is σ = 77836525088. Its totient is φ = 8588160000.

The previous prime is 27944812261. The next prime is 27944812307. The reversal of 27944812272 is 27221844972.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506022 + ... + 558522.

Almost surely, 227944812272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27944812272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918262544).

27944812272 is an abundant number, since it is smaller than the sum of its proper divisors (49891712816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27944812272 is a wasteful number, since it uses less digits than its factorization.

27944812272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53378 (or 53372 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The spelling of 27944812272 in words is "twenty-seven billion, nine hundred forty-four million, eight hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 853 1706 2559 3412 5118 6824 10236 11089 13648 20472 22178 33267 40944 44356 52501 66534 88712 105002 133068 157503 177424 210004 266136 315006 420008 532272 630012 682513 840016 1260024 1365026 2047539 2520048 2730052 4095078 5460104 8190156 10920208 16380312 32760624 44783353 89566706 134350059 179133412 268700118 358266824 537400236 582183589 716533648 1074800472 1164367178 1746550767 2149600944 2328734356 3493101534 4657468712 6986203068 9314937424 13972406136 27944812272